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Elements of Structural Optimization pp 177–209Cite as

Aspects of The Optimization Process in Practice

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 1))

Abstract

Occasionally, a structural analyst will write a design program that includes the calculation of structural response as well as an implementation of a constrained optimization algorithm, such as those discussed in Chapter 5. More often the analyst will have a structural analysis package, such as a finite-element program, as well as an optimization software package available to him. The task of the analyst is to combine the two so as to bring them to bear on the structural design problem that he wishes to solve.

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References

  1. Schmit, L.A., and Farshi, B., “Some Approximation Concepts for Structural Synthesis”, AIAA Journal, 12, 5, 692–699, 1974.

    Article  Google Scholar 

  2. Mills-Curran, W.C., Lust, R.V., and Schmit, L.A., “Approximation Methods for Space Frame Synthesis”, AIAA Journal, 21, 11, 1571–1580, 1983.

    Article  MATH  Google Scholar 

  3. Storaasli, O.,O., and Sobieszczanski, J., “On the Accuracy of the Taylor Approximation for Structure Resizing”, AIAA Journal, 12, 231–233, 1974.

    Article  Google Scholar 

  4. Noor, A.K., and Lowder, H.E., “Structural Reanalysis via a Mixed Method”, Computers and Structures, 5, 9–12, 1975.

    Article  Google Scholar 

  5. Starnes, J.H., and Haftka, R.T., “Preliminary Design of Composite Wings for Buckling, Stress and Displacement Constraints”, Journal of Aircraft, 16, 564570, 1979.

    Google Scholar 

  6. Haftka, R.T., and Shore, C.P., “Approximate Methods for Combined Thermal-Structural Analysis”, NASA TP-1428, 1979.

    Google Scholar 

  7. Prasad, B., “Potential forms of Explicit Constraint Approximation in Structural Optimization—Part 1:Analysis and Projections”, Computer Methods in Applied Mechanics and Engineering, 245–261, 1983.

    Google Scholar 

  8. Fleury, C., and Braibant, V.,“Structural Optimization: A New Dual Method using Mixed Variables”, International Journal for Numerical Methods in Engineering, 23, 409–428, 1985.

    Article  MathSciNet  Google Scholar 

  9. Prasad, B., “Novel Concepts for Constraint Treatments and Approximations in Efficient Structural Synthesis”, Paper No. 83–0940, AIAA/ASME/ASCE/AHS 24th Structures, Structural Dynamics and Materials Conference, Lake Tahoe, Nevada, May, 1983.

    Google Scholar 

  10. Murthy, D.V., and Haftka, R.T., “Approximations to Eigenvalues of Modified General Matrices”, Computers and Structures, 29, pp. 903–917, 1988.

    Article  MathSciNet  MATH  Google Scholar 

  11. Vanderplaats G.N., and Salajeghah, E., “A New Approximation Method for Stress Constraints in Structural Synthesis”, AIAA J., 27, pp. 352–358, 1989.

    Article  Google Scholar 

  12. Shephard, M.S., and Yerry, M.A., “Automatic Finite Element Modeling for Use with Three-Dimensional Shape Optimization,” in The Optimum Shape (Bennett, J.A., and Botkin M.E., eds. ), Plenum Press, 1986, pp. 113–135.

    Chapter  Google Scholar 

  13. Yang, R.J., and Botkin, M.E., “A Modular Approach for Three-Dimensional Shape Optimization of Structures,” AIAA J., 25, pp. 492–497, 1987.

    Article  Google Scholar 

  14. Kohn, R.V., and Strang, G., “Optimal Design and Relaxation of Variational Problems,” Comm. Pure Appl. Math., 39, pp$11–25 (Part I), pp$1139–182 (Part II), and pp. 353–377 (Part I II ), 1986.

    Google Scholar 

  15. Rozvany, G.I.N., Ong, T.G., Szeto, W.T., Olhoff, N., and Bendsoe, M.P., “Least-Weight Design of Perforated Plates,” Int. J. Solids Struct., 23, pp. 521–536 (Part I), and pp. 537–550 (Part II), 1987.

    Google Scholar 

  16. Bendsoe, M.P., and Kikuchi, N., “Generating Optimal Topologies in Structural Design using a Homogeneization Method,” Comp. Meth. Appl. Mech. Engng., 71, pp. 197–224, 1988.

    Article  MathSciNet  Google Scholar 

  17. Dorn, W.C., Gomrooy, R.E., and Greenberg, H.J., “Automatic Design of Optimal Structures,” J. Mécanique, 3, pp. 25–52, 1964.

    Google Scholar 

  18. Sheu, C.Y., and Schmit, L.A., “Minimum Weight Design of Elastic Redundant Trusses under Multiple Static Loading Conditions,” AIAA, J., 10, pp. 155–162, 1972.

    Article  Google Scholar 

  19. Reinschmidt, K.F., and Russel, A.D., “Applications of Linear Programming in Structural Layout and Optimization,” J. Comput. Struct., 4, pp. 855–869, 1974.

    Article  Google Scholar 

  20. Topping, B.H.V., “Shape Optimization of Skeletal Structures—a Review,” ASCE J. Struct. Enging., 109, pp. 1933–1951, 1983.

    Article  Google Scholar 

  21. Kirsch, U., “Optimal Topologies of Structures,” Appl. Mech. Rev., (in Press), 1989.

    Google Scholar 

  22. McCullers, L.A., and Lynch, R.W., “Composite Wing Design for Aeroelastic Tailoring Requirements,” Air Force Conference on Fibrous Composites in Flight Vehicle Design, Dayton, Ohio, September, 1972.

    Google Scholar 

  23. McCullers, L.A., and Lynch, R.W., “Dynamic Characteristics of Advanced Filamentary Composites Structures,” AFFDL-TR-73–111, Vol. I I, 1974.

    Google Scholar 

  24. Haftka, R.T., “Structural Optimization with Aeroelastic Constraints—A Survey of US Applications,” Int. J. Vehicle Design, 7, pp. 381–392, 1986.

    Google Scholar 

  25. Schmit, L.A., and Miura, H., “A New Structural Analysis/Synthesis Capability—Access I, AIAA J., 14, pp. 661–671, 1976.

    Article  Google Scholar 

  26. Fleury, C., and Schmit, L.A., ACCESS 3—Approximation Concepts Code for Efficient Structural Synthesis—User’s Guide,“ NASA CR-159260, September 1980.

    Google Scholar 

  27. Wilkinson, K., et al., “An Automated Procedure for Flutter and Strength Analysis and Optimization of Aerospace Vehicles, Vol. I—Theory, Vol. II—Program User’s Manual,” AFFDL-TR-75–137, 1975.

    Google Scholar 

  28. Venkayya, V.B., and Tischler, V.A., “OPSTAT-A Computer Program for Optimal Design of Structures Subjected to Static Loads,” AFFDL-TR-79–67,1979.

    Google Scholar 

  29. Khot, N.S., “Computer Program (OPTCOMP) for Optimization of Composite Structures for Minimum Weight Design,” AFFDL-TR-76–149, 1977.

    Google Scholar 

  30. Gellatly, R.A., Dupree, D.M., and Berke, L., “OPTIMUM II: A MAGIC Compatible Large Scale Automated Minimum Weight Design Program,” AFFDL-TR74–97, Vols. I and I I, 1974.

    Google Scholar 

  31. Isakson, G., and Pardo, H., “ASOP-3: A Program for the Minimum Weight Design of Structures Subjected to Strength and Deflection Constraints,” AFFDL-TR-76157, 1976.

    Google Scholar 

  32. Bartholomew, P., and Morris, A.J., “STARS: A Software Package for Structural Optimization,” in New Directions in Optimum Structural Design (Ed. E. Atrek et al.), Wiley, 1984

    Google Scholar 

  33. Kiusalaas, J., and Reddy, G.B., “DESAP 2—A Structural Design Program with Stress and Buckling Constraints,” NASA CR-2797 to 2799, 1977.

    Google Scholar 

  34. Haftka, R.T., and Prasad, B., “Programs for Analysis and Resizing of Complex Structures,” Comput. Struct., 10, pp. 323–330, 1979.

    MATH  Google Scholar 

  35. Sobieszczanski–Sobieski, J., and Rogers, J.L., Jr., A Programming System for Research and Applications in Structural Optimization,“ Int. Symposium on Optimum Structural Design, Tucson, Arizona, pp. 11–9–11–21, 1981.

    Google Scholar 

  36. Walsh, J.L., “Application of Mathematical Optimization Procedures to a Structural Model of a Large Finite-Element Wing,” NASA TM-87597, 1986.

    Google Scholar 

  37. Vanderplaats, G.N., “CONMIN- A Fortran Program for Constrained Function Minimization: User’s manual,” NASA TM X - 62282, 1973.

    Google Scholar 

  38. Brâmâ, T., “Applications of Structural Optimization Software in the Design Process,” in Computer Aided Optimum Design of Structures: Applications, (Eds, C. A. Brebbia and S. Hernandez ), Computational Mechanics Publications, Springer-Verlag, 1989, pp. 13–21.

    Google Scholar 

  39. Neill, D.J., Johnson, E.H., and Canfield, R., “ASTROS—A Multidisciplinary Automated Structural Design Tool,” AIAA Paper No. 87–0713, Proceedings of the AIAA/ASME/ASCE/AHS 28th Structures, Structural Dynamics and Materials Conference, Monterey, CA, April 6–8, 1987, Part 1, pp. 44–53.

    Google Scholar 

  40. Atrek, E., “SHAPE: A Program for Shape Optimization of Continuum Structures,” in Computer Aided Optimum Design of Structures: Applications, (Eds, C. A. Brebbia and S. Hernandez ), Computational Mechanics Publications, Springer-Verlag, 1989, pp. 135–144.

    Google Scholar 

  41. Hariran, M., Paeng, J.K., and Belsare, S., “STROPT—the Structural Optimization System,” Proceedings of the 7th International Conference on Vehicle Structural Mechanics, Detroit, MI, April 11–13, 1988, SAE, pp. 37–47.

    Google Scholar 

  42. Vanderplaats, G.N., Miura, H., Nagendra, G. and Wallerstein, D., “ Optimization of Large Scale Structures using MSC/NASTRAN”, in Computer Aided Optimum Design of Structures: Applications, (Eds, C. A. Brebbia and S. Hernandez ), Computational Mechanics Publications, Springer-Verlag, 1989, pp. 51–68.

    Google Scholar 

  43. Ward, P. and Cobb, W.G.C., “Application of I-DEAS Optimization for the Static and Dynamic Optimization of Engineering Structures,” in Computer Aided Optimum Design of Structures: Applications, (Eds, C. A. Brebbia and S. Hernandez ), Computational Mechanics Publications, Springer-Verlag, 1989, pp. 33–50.

    Google Scholar 

  44. Vanderplaats, G.N., “ADS: A FORTRAN Program for Automated Design Synthesis, Engineering Design Optimization, Inc. Santa Barbara, California, May 1985.

    Google Scholar 

  45. Miura, H., and Schmit, L.A., Jr., “NEWSUMT—A Fortran Program for Inequality Constrained Function Minimization—User’s Guide,” NASA CR-159070, June, 1979.

    Google Scholar 

  46. Grandhi, R.V., Thareja, R., and Haftka, R.T., “NEWSUMT-A: A General Purpose Program for Constrained Optimization Using Constraint Approximations,” ASME Journal of Mechanisms, Transmissions and Automation in Design, 107, pp. 94–99, 1985.

    Article  Google Scholar 

  47. Arora, J.S. and Tseng, C.H., “User Manual for IDESIGN: Version 3.5, Optimal Design Laboratory, College of Engineering, The University of Iowa, Iowa City, 1987.

    Google Scholar 

  48. Fleury, C., and Schmit, L.A., “Dual Methods and Approximation Concepts in Structural Synthesis,” NASA CR-3226, December, 1980.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

    Raphael T. Haftka

  2. Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

    Zafer Gürdal

  3. School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia, USA

    Manohar P. Kamat

Authors
  1. Raphael T. Haftka
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  2. Zafer Gürdal
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  3. Manohar P. Kamat
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© 1990 Springer Science+Business Media Dordrecht

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Haftka, R.T., Gürdal, Z., Kamat, M.P. (1990). Aspects of The Optimization Process in Practice. In: Elements of Structural Optimization. Solid Mechanics and Its Applications, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7862-2_6

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  • DOI: https://doi.org/10.1007/978-94-015-7862-2_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-015-7864-6

  • Online ISBN: 978-94-015-7862-2

  • eBook Packages: Springer Book Archive

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